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Finding the Fourth Proportional to 53,164.94, 79,763 and 15,726

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Solution

The fourth proportional to 53,164.94, 79,763 and 15,726 is: 23,593.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,164.94 : 79,763 = 15,726 : x
  2. Step 2: Convert to fraction form
    53,164.94/79,763 = 15,726/x
  3. Step 3: Cross multiply
    53,164.94x = 79,763 × 15,726
  4. Step 4: Simplify right side
    53,164.94x = 1,254,352,938
  5. Step 5: Solve for x
    x = 1,254,352,938/53,164.94
  6. Step 6: Final answer
    x = 23,593.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.